#7198 ⟨a, b | bb=aa, aba=aaa⟩

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Properties

Complete rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
  1. b2 ⇒ a2
  2. aba ⇒ a3
  3. ba2 ⇒ a2b
  4. a3b ⇒ a4 
# ab:bb=aa,aba=aaa ab
bb=aa
aba=aaa
baa=aab
aaab=aaaa

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ#PresentationMapping
107202⟨a, b | bb=aa, abb=aba⟩φ(a) = a, φ(b) = b